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Finding the Third Proportional to 3,105,417 and 6,786,564

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Solution

The third proportional to 3,105,417 and 6,786,564 is: 14,831,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105,417 : 6,786,564 = 6,786,564 : x
  2. Step 2: Convert to fraction form
    3,105,417/6,786,564 = 6,786,564/x
  3. Step 3: Cross multiply
    3,105,417x = 6,786,564 × 6,786,564
  4. Step 4: Simplify right side
    3,105,417x = 46,057,450,926,096
  5. Step 5: Solve for x
    x = 46,057,450,926,096/3,105,417
  6. Step 6: Final answer
    x = 14,831,325.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.